Calculus I - Concavity and Inflection Points - Example 1

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  • เผยแพร่เมื่อ 1 ม.ค. 2025

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  • @meaganthorpe630
    @meaganthorpe630 8 ปีที่แล้ว +173

    This helped me more in 12 minutes, than my professor could in an hour and 15 minutes, Thank you!

    • @bhan4
      @bhan4 8 ปีที่แล้ว +3

      LOL

    • @ownthispwn
      @ownthispwn 7 ปีที่แล้ว +5

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    • @phleXcss
      @phleXcss 7 ปีที่แล้ว +3

      took my professor 3 hours and this helped more.

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      @isaacarmani783 3 ปีที่แล้ว

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      @carlalexander2028 3 ปีที่แล้ว

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  • @arnav2723
    @arnav2723 3 ปีที่แล้ว +7

    short, simple and to the point, precisely what's needed 👏

  • @michellelam2392
    @michellelam2392 8 ปีที่แล้ว +45

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    @maxines108 6 ปีที่แล้ว +4

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  • @PANDORASBOXRELEASE
    @PANDORASBOXRELEASE 10 ปีที่แล้ว +12

    you rock man. Spent a week at outdoor ed as a cabin leader and came back with a test as a welcome back gift. this helped

    • @megsperry2925
      @megsperry2925 4 ปีที่แล้ว +1

      hope your test went well 5yrs ago

    • @PANDORASBOXRELEASE
      @PANDORASBOXRELEASE 4 ปีที่แล้ว

      @@megsperry2925 Considering I have a bachelor's degree in math now... I asked this question all the way back in high school!

    • @megsperry2925
      @megsperry2925 4 ปีที่แล้ว

      @@PANDORASBOXRELEASE well good job with math! I'm in calc, struggling lol..care to come teach my math class? XD

    • @PANDORASBOXRELEASE
      @PANDORASBOXRELEASE 4 ปีที่แล้ว

      @@megsperry2925 I aim to become a professor, so maybe one day! I'd actually be happy to help though. This page provided me with so much help back then. I used to be terrible at math.

    • @megsperry2925
      @megsperry2925 4 ปีที่แล้ว

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  • @kimberleychituku4098
    @kimberleychituku4098 3 ปีที่แล้ว +5

    I'm very impressed, I'm sure i will do great in my exams .All thanks to you.

  • @MSgreen4
    @MSgreen4 10 ปีที่แล้ว +9

    I was slightly confused in my class, but this video helped clear it up. Thanks!

  • @rockblaze5016
    @rockblaze5016 6 ปีที่แล้ว +1

    One of the most useful content in youtube

  • @Ethereal429
    @Ethereal429 8 ปีที่แล้ว +2

    Thank you very much! This is much more helpful than other videos I've watched or examples I've looked at.

  • @amosodhiambo9252
    @amosodhiambo9252 6 ปีที่แล้ว +1

    This video lecture really helped me 100 times in a couple hours than my lecturer who took more than 3 hours teaching me
    Big up

  • @21Greatest
    @21Greatest 10 ปีที่แล้ว +1

    Very easy to understand. You made this feel like it was some basic algebra problem!

  • @angilineingcad2342
    @angilineingcad2342 3 ปีที่แล้ว

    Thank you so much... Because of you i undesrtand my module😊

  • @sdk3113
    @sdk3113 6 ปีที่แล้ว +1

    Studying for an exam tomorrow and reviewing notes... My notes make no sense whatsoever in the way I wrote them.. I just want to say THANK YOU for your help. Good luck on your quizzes/exams to the others watching this video!

  • @Ygnez
    @Ygnez 10 ปีที่แล้ว +7

    Nice, from not understanding to fully understanding in 10 minutes :D

  • @darkwolf8226
    @darkwolf8226 3 ปีที่แล้ว

    Thank u!! Ur video helped a lot😊... Love from India 🇮🇳 ❤️

  • @divyaraj5778
    @divyaraj5778 4 ปีที่แล้ว +1

    Thanks sir ,good explanation

  • @greatnessT
    @greatnessT 7 ปีที่แล้ว +1

    You're speaking knowledge my friend!

  • @monar.becker4201
    @monar.becker4201 7 ปีที่แล้ว +5

    Thank you, thank you, thank you! You saved the day! :)

  • @alimurtaza7092
    @alimurtaza7092 5 ปีที่แล้ว

    Your teaching procedure is so good. You clear my all points thank u soo much Sir!

  • @betyawoke7053
    @betyawoke7053 2 ปีที่แล้ว

    This vedio very nice because my understand concavity up and dawn tank you very much

  • @abdullahkarim9131
    @abdullahkarim9131 4 ปีที่แล้ว

    Thanks alot,,, today I learned something new🌺🌺

  • @marwalarendani2451
    @marwalarendani2451 4 ปีที่แล้ว +2

    Thank you so much this really helped me a lot 🙏

  • @melissasamide6252
    @melissasamide6252 9 ปีที่แล้ว +5

    you're amazing, thanks so much

  • @basilco2941
    @basilco2941 3 ปีที่แล้ว

    Great explained, great worked

  • @abdulnabi4063
    @abdulnabi4063 4 ปีที่แล้ว

    kudas sir....well expalined..cheers..!!!!!

  • @zainabhaider4369
    @zainabhaider4369 ปีที่แล้ว

    maybe a question. Why do we derive twice! We do not equate the first derivative with zero, as in Rolle's theorem.!! Why do we derive twice and not 3 or 4 times?

  • @Mavedalicious
    @Mavedalicious 11 ปีที่แล้ว +1

    thank you for the in-depth explanation!

  • @annien8306
    @annien8306 6 ปีที่แล้ว

    Thanks so much! I feel a lot better about my quiz tomorrow!

  • @kavinprasath6457
    @kavinprasath6457 4 ปีที่แล้ว

    Wow , everything was easily understood, so thankyou

  • @m-2180
    @m-2180 6 ปีที่แล้ว +2

    Thank you this really helped me 😩💜💜💜💜

  • @soumyamohapatra649
    @soumyamohapatra649 5 ปีที่แล้ว

    Tq so much sir.. Really this video is very help full..

  • @Consolous
    @Consolous 9 ปีที่แล้ว

    Great video, I learned from another video the concavity and came for the inflection point, but I reinforced my understanding of concavity while watching your video. 2 birds on one shot :) thanks!

  • @kagisodipheko3098
    @kagisodipheko3098 7 ปีที่แล้ว +1

    thank you sir KEEP UP THAT FRUITFUL WORK

  • @ryandaepic1838
    @ryandaepic1838 3 ปีที่แล้ว +1

    Yeah, all the thank-yous, but why did he stop uploading?

  • @Dhia_anims
    @Dhia_anims 2 ปีที่แล้ว

    I'm literally learning this 1 hour befour the exam and i hope it work , good video!

    • @pagalinsaan8231
      @pagalinsaan8231 2 ปีที่แล้ว

      How was your exam

    • @Dhia_anims
      @Dhia_anims 2 ปีที่แล้ว

      @@pagalinsaan8231 haha bad i think I'll get 9 points out of 20 thanks for asking tho

    • @Dhia_anims
      @Dhia_anims 2 ปีที่แล้ว

      I'll study earlier next time lol

    • @pagalinsaan8231
      @pagalinsaan8231 2 ปีที่แล้ว

      @@Dhia_anims i had also maths exam hopefully i will get 15 out of 20

    • @Dhia_anims
      @Dhia_anims 2 ปีที่แล้ว

      @@pagalinsaan8231 i hope so

  • @lowlesssate1934
    @lowlesssate1934 2 ปีที่แล้ว

    very good teaching.

  • @allannandia2519
    @allannandia2519 2 ปีที่แล้ว

    thankyou it's very helpful to me

  • @usmanacademykhohar2824
    @usmanacademykhohar2824 3 ปีที่แล้ว

    Very impressive lecture

  • @ViolentAuthority
    @ViolentAuthority 9 ปีที่แล้ว +1

    You're awesome. Keep it up.

  • @ramnareshdara5203
    @ramnareshdara5203 5 ปีที่แล้ว

    You helped me as much as I can not write because I am hindi medium student not able to understand english much but you gave subtitles so ❤❤❤❤❤❤❤❤❤❤❤❤❤💞💓👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍

  • @andrewzanca2324
    @andrewzanca2324 6 ปีที่แล้ว

    great videos, very helpful

  • @roman20mark62
    @roman20mark62 5 ปีที่แล้ว +2

    I want concavity for the points X= -1/2 ??

  • @sheulyakter5490
    @sheulyakter5490 2 ปีที่แล้ว

    From Bangladesh, I am interested in PoI though it's the topic of advance classes. Thanks for helping me to make it clear.

  • @hufsajaved3491
    @hufsajaved3491 4 ปีที่แล้ว

    Thanks sir I am from Pakistan
    I understand very well

  • @jim51011
    @jim51011 4 ปีที่แล้ว

    Thank you brother!

  • @sachinkumarbrahma721
    @sachinkumarbrahma721 2 ปีที่แล้ว

    Thanks alot sir 🙏🙏🙏

  • @ahmedak_1
    @ahmedak_1 5 ปีที่แล้ว

    Thanks Sir, that was pretty awesome

  • @sivaprasadmp2245
    @sivaprasadmp2245 4 ปีที่แล้ว

    Thank you for your help

  • @temioluade8341
    @temioluade8341 5 ปีที่แล้ว

    You a blessing fr!!!

  • @binosebastian5746
    @binosebastian5746 5 ปีที่แล้ว

    Thank you so much sir . you've really helped me with this please make more videos on this topic.

  • @scapedrag7893
    @scapedrag7893 6 ปีที่แล้ว

    very well explained. thank you

  • @Rituparna_
    @Rituparna_ 5 ปีที่แล้ว

    Thank you sir thank you so much

  • @sangyaltsering7645
    @sangyaltsering7645 10 ปีที่แล้ว

    Was very helpful! Thanks!!!

  • @MaliaDinko
    @MaliaDinko 10 ปีที่แล้ว

    Thank you so. Just what I needed to know

  • @TheSuiteLifeofVal
    @TheSuiteLifeofVal 4 ปีที่แล้ว

    Awesome 👏🏻

  • @fazlulhoque7279
    @fazlulhoque7279 6 ปีที่แล้ว

    Nice explanation

  • @veerannasp3350
    @veerannasp3350 2 ปีที่แล้ว

    Thank you... It really helped me to solve other problems related to this topic

  • @junior8954
    @junior8954 7 ปีที่แล้ว +1

    Very helpful!

  • @thischick6
    @thischick6 8 ปีที่แล้ว

    Thanks for your help!

  • @brepatel6152
    @brepatel6152 ปีที่แล้ว

    thank u king!

  • @emanjoudeh859
    @emanjoudeh859 4 ปีที่แล้ว

    Thank you😍😍😍

  • @aymanmuthana9768
    @aymanmuthana9768 7 ปีที่แล้ว

    You are great!

  • @joshuakusuma5953
    @joshuakusuma5953 8 ปีที่แล้ว +2

    Is it possible to have two different x values which would lead to two different points of inflection?

    • @TheInfiniteLooper
      @TheInfiniteLooper  8 ปีที่แล้ว +1

      +joshua kusuma yes. I'm sure I have at least one video on my channel of a function with more than one inflection point, if you wanted to see an example.

  • @American_patriot110
    @American_patriot110 9 ปีที่แล้ว

    That was very helpful, thanks man.

    • @Leadwithlove654
      @Leadwithlove654 2 ปีที่แล้ว +1

      r u somali? just wondering ,

    • @American_patriot110
      @American_patriot110 2 ปีที่แล้ว

      @@Leadwithlove654 yeah lol 😆 i wrote this comment 6 yrs ago when i was is in college

    • @Leadwithlove654
      @Leadwithlove654 2 ปีที่แล้ว

      @@American_patriot110 no, I wrote this comment just 24 hrs ago, i was watching this video while doing my homework and saw your name and i didn't think you were going to reply but you did wow!

    • @American_patriot110
      @American_patriot110 2 ปีที่แล้ว

      @@Leadwithlove654 lol 😆 my bad, i wanted to say "i wrote" instead i put U in the place of i. Thanks Huuno, Glad you are studying Hard. Keep going forward sis

  • @saniatrisha7817
    @saniatrisha7817 9 ปีที่แล้ว

    thanks! it helped me a lot! :)

  • @nonichan8829
    @nonichan8829 8 ปีที่แล้ว +3

    thank you thank you thank you

  • @misty348
    @misty348 10 ปีที่แล้ว

    Thanks that was really helpful

  • @samson4958
    @samson4958 8 ปีที่แล้ว

    i think its good that you are doing question but make it more clear

  • @kayemarine1442
    @kayemarine1442 6 ปีที่แล้ว

    u rock my dude

  • @PuppyRT
    @PuppyRT 10 ปีที่แล้ว

    this is very helpful thanks :D

  • @prab99uk
    @prab99uk 8 ปีที่แล้ว +1

    Hi great video, but one question: I understand here you are told there is a point of inflection so you can use f''(x) =0 to find this point. But if you just had that equation and were asked to prove it was in fact a point of inflection at x=2, how would you go about it? I'm aware that a point of inflection implies that f"(x)=0 but I also know that f"(x)=0 does not imply that it is necessarily a point of inflection.

    • @TheInfiniteLooper
      @TheInfiniteLooper  8 ปีที่แล้ว

      Thanks. You'd do literally exactly the same thing. Although we knew ahead of time in this case that there was a point of inflection, we didn't know where or what it was and when we looked for it we didn't use the fact that we knew it exists.
      If you're just told to investigate then you do all of the same steps. The only difference is it's possible to conclude that there are no inflection points.

    • @prab99uk
      @prab99uk 8 ปีที่แล้ว

      Oh ok, I understand it now thanks! Also is it worth using f'''(x) instead of doing this method for a point of inflection?

    • @TheInfiniteLooper
      @TheInfiniteLooper  8 ปีที่แล้ว

      Sorry, missed the notification on this one somehow. I don't think so. I don't see how using the third derivative can be helpful when looking for points of inflection. For points of inflection you want to know where the second derivative is positive, negative, and zero. The third derivative basically only tells you when the second derivative is increasing, decreasing, or constant.

  • @dmmsharkey
    @dmmsharkey 7 ปีที่แล้ว

    This was great help. This new webassign system hacc is using is completely pointless. Apparently I'm supposed to learn calculus from reading the book...

  • @omnnnooy3267
    @omnnnooy3267 9 ปีที่แล้ว

    you are amazing

  • @QuyenNguyen-gv7dl
    @QuyenNguyen-gv7dl 7 ปีที่แล้ว

    When we find the y-coordinate , why we don't plug the x=2 into the F" instead of the F ???

    • @TheInfiniteLooper
      @TheInfiniteLooper  7 ปีที่แล้ว

      Quyen Nguyen because we want the y-coordinate on the graph of f. We can't get that from f".

  • @ericbaptista536
    @ericbaptista536 6 ปีที่แล้ว

    Thank you sir!

  • @karandhami1542
    @karandhami1542 4 ปีที่แล้ว

    Thank you sir

  • @tianhaozhang7169
    @tianhaozhang7169 7 ปีที่แล้ว

    Very clear

  • @suryakrishsaiyan
    @suryakrishsaiyan 9 ปีที่แล้ว

    how can you write intervals including infinity? there could be two or more inflation points where the function's sign could change.

    • @TheInfiniteLooper
      @TheInfiniteLooper  9 ปีที่แล้ว

      +surya krish Points of inflection can only occur in two places: (1) Where the second derivative is zero, or (2) where the second derivative is undefined. The second derivative is never undefined in this example because it's a polynomial. And there is only one point where the second derivative is zero (x = 2). So in this case it is not possible that there are two or more inflection points.

  • @x2memox2
    @x2memox2 9 ปีที่แล้ว

    there are more than a 100 "so" in this video. however, it's really helpful. thanks

  • @dishantdewit
    @dishantdewit 7 ปีที่แล้ว

    excellent sir

  • @bhan4
    @bhan4 8 ปีที่แล้ว

    Thank you so much!

  • @iggythefool8770
    @iggythefool8770 8 ปีที่แล้ว +1

    thanks for this and btw,
    the f(x) got me

  • @vipuldaripkar
    @vipuldaripkar 11 ปีที่แล้ว

    Thank you so much.

  • @abdullahalsubai2176
    @abdullahalsubai2176 6 ปีที่แล้ว

    nice vid man

  • @user-kc3vm3jw2b
    @user-kc3vm3jw2b 6 ปีที่แล้ว

    Thank you 💗

  • @ahmedbaqi540
    @ahmedbaqi540 8 ปีที่แล้ว

    amazing !

  • @mathematicaATD
    @mathematicaATD 7 ปีที่แล้ว

    Excellent

  • @jeanclaude6284
    @jeanclaude6284 7 ปีที่แล้ว

    Why are we using the second derivative and not the 1st, to find the graphs concavity?

    • @TheInfiniteLooper
      @TheInfiniteLooper  7 ปีที่แล้ว

      Jean Claude because the second derivative is what tells us about concavity. The first derivative doesn't.

  • @Kepitt
    @Kepitt 6 ปีที่แล้ว +1

    8:02 ...and beyond!
    I'll show myself out...

  • @FFproductions_
    @FFproductions_ 4 ปีที่แล้ว

    u rock thank you

  • @SK-vt3fj
    @SK-vt3fj 7 ปีที่แล้ว

    Very good

  • @mesutbakhtyari
    @mesutbakhtyari 6 ปีที่แล้ว

    Thank you!

  • @miriamaharon9737
    @miriamaharon9737 8 ปีที่แล้ว

    are you wearing the camera on your head?

  • @navajohnny76
    @navajohnny76 6 ปีที่แล้ว

    Thank you.

  • @ahmedaljunaibi7798
    @ahmedaljunaibi7798 8 ปีที่แล้ว

    thank you soooooooooooooo much

  • @retakaka6967
    @retakaka6967 10 ปีที่แล้ว

    Thnx a lot

  • @rooneynguyen2967
    @rooneynguyen2967 10 ปีที่แล้ว

    Thank you brah

  • @somone5186
    @somone5186 7 ปีที่แล้ว

    thanks so much

  • @blazer7731
    @blazer7731 3 ปีที่แล้ว

    Leaving a comment for myself: 9:00

  • @astronwitt2215
    @astronwitt2215 10 ปีที่แล้ว

    Thanks, does ciritical number is only for f'(x)=0?

    • @TheInfiniteLooper
      @TheInfiniteLooper  10 ปีที่แล้ว +1

      Critical numbers are values of x where f'(x) = 0 or where f'(x) is undefined, but f(x) in this video is a polynomial and polynomials are never undefined.